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Question

Solve the following equation:
2x3x22x+3=3x5x23x+5 x lies in [0,2]
If true then enter 1 and if false then enter 0

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Solution

Given, 2x3x22x+3=3x5x23x+5,
On cross multiplying we get,
(x22x+3)(3x5)=(2x3)(x23x+5)3x311x2+19x15=2x39x2+19x15x32x2=0x2(x2)=0x=0,2

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